Can locally Hadamard quantum states have non-local singularities?

DOI10.1088/0264-9381/6/10/013zbMath0678.53082OpenAlexW2142909967MaRDI QIDQ3834678

Bernard S. Kay, Guiseppe Gonnella

Publication date: 1989

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/6/10/013

zbMATH Keywords

curved spacetimeglobally hyperbolic spacetimequantum statesHadamard conditionquantum energy-momentum tensoranticommutator functionquantum massive scalar field theoryrenormalising

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Axiomatic quantum field theory; operator algebras (81T05) Methods of quantum field theory in general relativity and gravitational theory (83C47)

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Sufficient conditions for quasifree states and an improved uniqueness theorem for quantum fields on space–times with horizons ⋮ The fermionic projector in a time-dependent external potential: Mass oscillation property and Hadamard states ⋮ Micro-local approach to the Hadamard condition in quantum field theory on curved space-time ⋮ A local-to-global singularity theorem for quantum field theory on curved space-time (with an appendix by Rainer Verch) ⋮ On the adiabatic limit of Hadamard states ⋮ A new class of fermionic projectors: Møller operators and mass oscillation properties ⋮ Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon ⋮ The Polyakov loop dependence of bulk viscosity of QCD matter ⋮ Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetime

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